Assignment: Quantiles and Graphs

Birthweight data by gender

Load the BirthdataNC into R and use kable to create a table with mean and sd by gender.

Gender	Average Weight	Sd Weight
female	6.903	1.476
male	7.302	1.517

Make an interactive histogram of weight by gender that also contains density plots in it. Add a vertical line with the average weight

Create quantiles:

• Quartiles of weight for the whole population
• Quartiles of weight by gender
• deciles by gender
• what is the weight of the 75% percentile male name the object p75m
• what is the weight of the 45% percentile female name the object p45f

##    0%   25%   50%   75%  100% 
##  1.00  6.38  7.31  8.06 11.75 
##    0%   25%   50%   75%  100% 
##  1.00  6.25  7.13  7.75 11.63 
##    0%   25%   50%   75%  100% 
##  1.38  6.56  7.44  8.31 11.75 
##     0%    10%    20%    30%    40%    50%    60%    70%    80%    90% 
##  1.000  5.392  6.000  6.500  6.866  7.130  7.380  7.630  7.940  8.380 
##   100% 
## 11.630 
##     0%    10%    20%    30%    40%    50%    60%    70%    80%    90% 
##  1.380  5.476  6.310  6.866  7.190  7.440  7.810  8.130  8.488  8.964 
##   100% 
## 11.750 
## [1] "Weight for 75th percentile for the whole population 8.31"
## [1] "Weight for 45th percentile for female population 7"

Interactive boxplot of weight by gender.

What can you say about the distribution by looking at these graphs. Here you have to use another geometric that also ilustrates the distribution of your data. geom_violin() Explain what this graphs does.

Using the normal distribution and the t-studnet find the critical values for \(\alpha=10% and 1%\)

\(\alpha\)	T-student	Normal-right
0.10	1.282	1.282
0.01	2.330	2.326